This paper describes a coding scheme for broadband speech. It can be seen as a vectorial extension of an conventional ADPCM encoder. In this scheme, the vector signal is formed with one sample of the normalizaed prediction error of each subband and then, it is vector quantized. It combines the advantages of the scalar prediction and of the vector quantization (VQ) . We handle the high vector dimensionality by using a multi-VQ. It requires a previous subvector division and an adequate bit assignement among them. This scheme shows an high capacity to drive large dynamic range signals like broadband speech.